Respuesta :
Step 1
Let
[tex]A(4,0)\ B(4,2)[/tex]
the equation of the line AB is
[tex]x=4[/tex]
we know that
the line AB is parallel to the y-axis
therefore
the line perpendicular to the line AB will be parallel to the x-axis and the equation of the line will be equal to the y-coordinate of the point [tex](-2,3)[/tex]
The y-coordinate of the point is [tex]3[/tex]
the equation of the line is
[tex]y=3[/tex]
the answer is the option
[tex]y=3[/tex]
see the attached figure to better understand the problem